A novel method for constructing 3D void RVE elements and rapid homogenization of composite materials

IF 7.1 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2025-04-01 Epub Date: 2025-03-04 DOI:10.1016/j.compstruct.2025.119040

Xiangxi Li , Mengze Li , Fengyi Zhang , Fanrui Kong , Di Yang , Weiwei Qu , Yinglin Ke

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Abstract

This article provides a method for modeling large-scale three-dimensional (3D) void defect Representative Volume Elements (RVE) with high fiber volume fractions and performing rapid homogenization. A 3D multi-section void construction method based on the Ferguson curve is proposed, along with an “inertia algorithm” that obtains optimal fiber positioning by minimizing overall inertia, taking the influence of void positioning into account. This method enables the rapid generation of 3D void defect RVE models with high fiber volume fractions. A model simplification and rapid homogenization method based on a multi-scale approach is proposed, in which the RVE containing void defects is treated as a mesoscopic structure with fiber-resin and void regions considered as two microcosmic structures. The fiber-resin region is regarded as a new material, simplifying the initial fiber-resin-void three-phase model into a two-phase model of the new material and voids. The simplified model has only 9.2% of the initial mesh elements and a homogenization time of 6.7%, achieving rapid homogenization. The rapid homogenization method was validated using two existing void RVE models, revealing an accuracy of over 95% for the obtained elastic constants.

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一种构建三维孔隙RVE单元及复合材料快速均匀化的新方法

本文提供了一种模拟具有高纤维体积分数的大尺度三维（3D）孔隙缺陷的代表性体积元（RVE）并进行快速均质化的方法。提出了一种基于Ferguson曲线的三维多段孔洞构造方法，并提出了一种考虑孔洞定位影响的“惯性算法”，通过最小化整体惯性来获得最优的纤维定位。该方法能够快速生成具有高纤维体积分数的三维孔隙缺陷RVE模型。提出了一种基于多尺度方法的模型简化和快速均质方法，该方法将含有孔洞缺陷的RVE视为一种介观结构，将纤维-树脂和孔洞区域视为两种微观结构。将纤维-树脂区域视为一种新材料，将初始纤维-树脂-空隙三相模型简化为新材料-空隙两相模型。简化模型的网格单元数仅为初始的9.2%，均匀化时间为6.7%，实现了快速均匀化。使用两种现有的孔隙RVE模型验证了快速均匀化方法，结果表明，得到的弹性常数精度超过95%。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.